- #1
Mustard
- 21
- 1
Member warned that some effort must be shown.
- Homework Statement
- I'm not sure how to go about it tbh :/
- Relevant Equations
- On the pic
Well in the the bottom half I would assume you would have to use u-subsitution but I don't believe the question is asking me to solve the bottom until I prove the top is = b/2?PeroK said:Do you have any ideas yourself?
Have you tried the obvious substitution?Mustard said:Well in the the bottom half I would assume you would have to use u-subsitution but I don't believe the question is asking me to solve the bottom until I prove the top is = b/2?
Do you mean substituting b for x?PeroK said:Have you tried the obvious substitution?
I thought the substitution ##u = b - x## was the first thing you should consider. Especially if you are stuck.Mustard said:Do you mean substituting b for x?
Yes. You need to tidy that up and, strictly speaking, you are missing an equals sign.Mustard said:Oh , I'm stuck again. Am I doing it right si far ? :/ I'm sorry it's just confusing to me.
You have a few issues to correct.Mustard said:Oh , I'm stuck again. Am I doing it right si far ? :/ I'm sorry it's just confusing to me.
An integral proof is a mathematical method used to prove the validity of a statement or equation by using the fundamental theorem of calculus. It involves finding the antiderivative of a function and evaluating it at two points to calculate the area under the curve.
An integral proof is used to establish the relationship between the function in the original integral and its antiderivative. This relationship is then used to simplify the 2nd integral and solve it using the fundamental theorem of calculus.
The steps involved in an integral proof include finding the antiderivative of the function, setting up the limits of integration, evaluating the antiderivative at the limits, and subtracting the results to find the area under the curve.
Yes, an integral proof can be used to solve any type of integral as long as the function has an antiderivative that can be evaluated at the given limits of integration.
Using an integral proof can simplify the process of solving a 2nd integral and provide a more efficient and accurate solution. It also helps to establish the relationship between the original function and its antiderivative, allowing for a deeper understanding of the concept.